An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see figure). The speed of the plane is 700 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 70°. (a) 87.6 8 = 30° (b) 8 = 60° 151.56 Not drawn to scale X rad/min y mi. X rad/min 8 = 70° (Round your answer to two decimal places.) 154.53 X rad/min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see figure). The speed of the plane is 700 miles per hour. Find the rates at which the
angle of elevation 0 is changing when the angle is 0 = 30°, 8 = 60°, and 0 = 70°.
(a)
87.6
8 = 30°
(b) 8 = 60°
151.56
Not drawn to scale
X rad/min
y mi.
X rad/min
8 = 70° (Round your answer to two decimal places.)
154.53
X rad/min
Transcribed Image Text:An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see figure). The speed of the plane is 700 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 8 = 60°, and 0 = 70°. (a) 87.6 8 = 30° (b) 8 = 60° 151.56 Not drawn to scale X rad/min y mi. X rad/min 8 = 70° (Round your answer to two decimal places.) 154.53 X rad/min
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